Schmidt number of bipartite and multipartite states under local projections
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- 作者：Lin Chen ; Yu Yang ; Wai-Shing Tang
- 关键词：Quantum states ; Local projections ; PPT entangled states ; Schmidt number ; Joint Schmidt number ; Reduced density operators
- 刊名：Quantum Information Processing
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：16
- 期：3
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics;
- 出版者：Springer US
- ISSN：1573-1332
- 卷排序：16
文摘
The Schmidt number is a fundamental parameter characterizing the properties of quantum states, and local projections are fundamental operations in quantum physics. We investigate the relation between the Schmidt numbers of bipartite states and their projected states. We show that there exist bipartite positive partial transpose entangled states of any given Schmidt number. We further construct the notion of joint Schmidt number for multipartite states and explore its relation with the Schmidt number of bipartite reduced density operators.